Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
33120bb |
Isogeny class |
Conductor |
33120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
156456230400 = 29 · 312 · 52 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 6 4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1803,-22498] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:70:1] |
Generators of the group modulo torsion |
j |
1736654408/419175 |
j-invariant |
L |
6.236648175368 |
L(r)(E,1)/r! |
Ω |
0.74551874089393 |
Real period |
R |
2.0913787384774 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33120k2 66240ci2 11040e2 |
Quadratic twists by: -4 8 -3 |